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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 638 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  2. 2.Which is bigger: −4/7 or −3/8? (a) −3/8 (b) −4/7
  3. 3.What is (−8/9) − 5/7? (a) −13/16 (b) 101/63 (c) −11/63 (d) −101/63
  4. 4.Is 8/(−9) positive or negative? (a) Positive (b) Negative
  5. 5.Which is smaller: −5/7 or 8/9? (a) 8/9 (b) −5/7
  6. 6.What is 2/5 + (−3/4)? (a) −1/9 (b) 23/20 (c) −7/20 (d) 7/20
  7. 7.What is (−1/6) + 1/6? (a) −1/3 (b) 0
  8. 8.What is (−3/4) + 4/7? (a) 5/28 (b) 1/11 (c) −37/28 (d) −5/28
  9. 9.What is (−5/8) + 3/7? (a) −59/56 (b) −11/56 (c) −2/15 (d) 11/56
  10. 10.Write −10/18 in standard form (lowest terms, positive denominator). (a) −10/18 (b) −9/5 (c) −5/9 (d) 5/9
  11. 11.What is (−4/7) − 3/8? (a) −53/56 (b) −11/56 (c) 53/56 (d) −7/15
  12. 12.What is 1/8 − (−1/6)? (a) 1/7 (b) −1/24 (c) 7/24 (d) −7/24
  13. 13.What is 7/8 − (−7/8)? (a) 0 (b) 7/8 (c) −7/4 (d) 7/4
  14. 14.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) −2 (c) 1/2 (d) 2
  15. 15.Which is smaller: −4/9 or −3/7? (a) −3/7 (b) −4/9
  16. 16.Write −8/12 in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −8/12 (d) −2/3
  17. 17.What is the reciprocal (multiplicative inverse) of 4/9? (a) 9/4 (b) −4/9 (c) −9/4 (d) 4/9
  18. 18.What is (−3/5) − (−4/5)? (a) −1/5 (b) 1/5 (c) −7/5 (d) 1/10
  19. 19.Is 2/4 positive or negative? (a) Positive (b) Negative
  20. 20.Which is bigger: −1/8 or −5/7? (a) −1/8 (b) −5/7
  21. 21.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −18/24 (b) −3/4 (c) −4/3 (d) 3/4
  22. 22.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −12/54 (c) −9/2 (d) −2/9
  23. 23.What is (−2/9) − 3/4? (a) −5/13 (b) 19/36 (c) 35/36 (d) −35/36
  24. 24.Write −3/15 in standard form (lowest terms, positive denominator). (a) −3/15 (b) −5/1 (c) 1/5 (d) −1/5
  25. 25.What is the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  26. 26.Which is smaller: −2/3 or 1/3? (a) −2/3 (b) 1/3
  27. 27.What is (−1/2) − (−5/6)? (a) −4/3 (b) 1/3 (c) 1/2 (d) −1/3
  28. 28.What is (−1/5) + 2/5? (a) −1/5 (b) 1/5 (c) 1/10 (d) −3/5
  29. 29.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  30. 30.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  31. 31.What is the additive inverse of 5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  32. 32.What is (−3/7) − 7/9? (a) 22/63 (b) −76/63 (c) −5/8 (d) 76/63
  33. 33.Is 3/(−5) positive or negative? (a) Negative (b) Positive
  34. 34.Write −20/35 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −20/35 (c) −4/7 (d) −7/4
  35. 35.Which is bigger: −1/9 or 7/9? (a) −1/9 (b) 7/9
  36. 36.Which is bigger: −5/7 or 7/8? (a) 7/8 (b) −5/7
  37. 37.What is (−2/5) − (−2/9)? (a) −28/45 (b) 8/45 (c) 0 (d) −8/45
  38. 38.Write −25/45 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −25/45 (c) 5/9 (d) −5/9
  39. 39.What is 1/5 + (−7/8)? (a) −6/13 (b) 43/40 (c) −27/40 (d) 27/40
  40. 40.What is 5/7 + (−2/7)? (a) 3/14 (b) 3/7 (c) −3/7 (d) 1

Answer key

  1. 5
  2. −3/8
  3. −101/63
  4. Negative
  5. −5/7
  6. −7/20
  7. 0
  8. −5/28
  9. −11/56
  10. −5/9
  11. −53/56
  12. 7/24
  13. 7/4
  14. −2
  15. −4/9
  16. −2/3
  17. 9/4
  18. 1/5
  19. Positive
  20. −1/8
  21. −3/4
  22. −2/9
  23. −35/36
  24. −1/5
  25. −3/5
  26. −2/3
  27. 1/3
  28. 1/5
  29. −5
  30. Negative
  31. −5/7
  32. −76/63
  33. Negative
  34. −4/7
  35. 7/9
  36. 7/8
  37. −8/45
  38. −5/9
  39. −27/40
  40. 3/7

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